A novel filter based on the Grey Modeling

We address the image denoising through a novel filter, which based on the grey modeling (GM). The images always are corrupted by noises, which have a bad influence on the subsequently processing. In the full paper we explain in detail how the GM effectively removes noise when image is corrupted by salt-and-pepper noise. The flag matrix, which marks the type of every pixel, can be obtained by using six convolution kernels. Then grey model GM (1,1) is established by the non-noise pixels which around the noise pixel. The noise can be replaced by the recuperating value of the GM (1,1), the processing of which produces image without noise. In all cases, our new filter can effectively remove the salt-and-pepper noise, and give improved results when compared to some more popular de-noising method.